Pregunta
What is the slope of the line that passes through the points
and
? Write your answer in simplest form.
Answer Attempti out of a
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Answer Attempti out of a
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Ask by Vega Hills. in the United States
Nov 01,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The slope of the line is
.
Solución
To find the slope of the line that passes through the points
and
, we can use the formula for the slope
between two points
and
:
Here, we can assign:
Now, substituting the values into the slope formula:
Calculating the differences:
Simplifying the fraction:
Thus, the slope of the line that passes through the points
and
is
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Como
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Beyond the Answer
To find the slope of a line passing through two points, you can use the formula
. For your points
and
, the calculation goes like this:
,
,
,
. Plugging into the formula gives
. So the slope is
!
Understanding slope is essential! In real-life, it’s often used in construction and engineering, to determine how steep a ramp should be or even in architecture to calculate roof angles. Knowing how to compute slope can help ensure that your projects are both functional and safe!
Another fun fact: the concept of slope has been around for centuries, with mathematical discussions dating back to ancient civilizations! Early geometers like Euclid employed similar ideas in their work with lines and shapes, which laid the groundwork for today’s algebra and calculus. It’s fascinating to realize how these ideas have stood the test of time!

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